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10000122132 = 223711134717713
BaseRepresentation
bin10010101000000110…
…11100000100010100
3221210220222211122210
421110003130010110
5130440012402012
64332145153420
7502545431010
oct112403340424
927726884583
1010000122132
114271898850
121b3102b870
13c34a30c40
146ac195540
153d7dd423c
hex2540dc114

10000122132 has 192 divisors, whose sum is σ = 31997435904. Its totient is φ = 2346485760.

The previous prime is 10000122103. The next prime is 10000122133. The reversal of 10000122132 is 23122100001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000122133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 555708 + ... + 573420.

It is an arithmetic number, because the mean of its divisors is an integer number (166653312).

Almost surely, 210000122132 is an apocalyptic number.

10000122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998717952).

10000122132 is an abundant number, since it is smaller than the sum of its proper divisors (21997313772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000122132 is a wasteful number, since it uses less digits than its factorization.

10000122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17798 (or 17796 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10000122132 its reverse (23122100001), we get a palindrome (33122222133).

The spelling of 10000122132 in words is "ten billion, one hundred twenty-two thousand, one hundred thirty-two".